Show was an encore for the November 2010 college championship see related links for those shows
The Final Jeopardy category for August 10 2010 was Architecture
This was a Sunday and only local encore episodes were shown
The Final Jeopardy category for June 10 2010 was Short Stories
The Final Jeopardy category for September 10 2010 was Middle East Countries
The Final Jeopardy category for May 10 2010 was English literary history
Question is unclear do you mean the category for final jeopardy or the last category that was answered before the final jeopardy round in the Jeopardy round or the Double Jeopardy round. I have added a link to the Jeopardy archive and you will be able to find the answer to whatever you wanted to know for the December 10 2010 Jeopardy Program. The link is below the answer information
Beatles Song was the category for the Final Category on Jeopardy 04-15-10,
The final Category on November 10 2009 is Architecture
The final category is U.S. Presidents
The final category was Famous speeches The clue was: Just 10 sentences, this speech is wrong on one point; it is long remembered The answer was: What was The Gettysburg Address
The August 10 2010 episode is an encore broadcast of the Jeopardy Teen Tournament Semifinal Game 2 that aired November 10 2009. The Category was Architecture The clue was "De Maupassant, Zola & Dumas fils were among those signing a petition decrying it as "a gigantic... factory chimney" The answer was What is the Eiffel Tower
The Final category was Symbols The clue was: One tale of it's origin says that the blind seer Tiresias separated 2 snakes with his staff The answer was : What is Caduceus
Jeopardy - 1984 28-10 was released on: USA: 30 September 2011
American heroesThe Final Category for February 10 2010 was American Heroes
The information for the season 11 Date is not found in the Online Jeopardy Archive
The Final category was Symbols The clue was: One tale of it's origin says that the blind seer Tiresias separated 2 snakes with his staff The answer was : What is Caduceus
AstronomyThe Final Category for February 10 2010 was Astronomy
There are 10 shows from November 1985 the second season of Jeopardy in the Jeopardy archive for the 1985 Tournament of Champions under the related link
The category was METEOROLOGYThe clue was Low- & high-pressure systems & tropical moisture set the stage for a 1991 nor'easter nicknamed these 2 wordsThe answer was What was a Perfect StormMeteorology was the Jeopardy final category for 06-07-10.The Jeopardy final category on 06-07-10 is meteorology.
July 10 2010 was a Saturday and the original Airdate is not known
Whale Wars - 2008 Delivering the Final Blow 4-10 was released on: USA: 12 August 2011
The final category was 20th Century Presidential Elections The Clue was: The last time the Democratic and Republican nominees had once been governor of the same state, this was the state The answer was: What was New York
Final Jeopardy! for Wednesday, September 10, 2008:Category: Brand NamesAnswer: To feature its "Strong enough to stand on " product, in 1965 Shwayder Bros., Inc. changed its name to this.Question: What is Samsonite Luggage?
The final category was Sports VenuesThe clue was In 2000 the Centre Court Arena in Melbourne, Australia was renamed for himThe answer was Who was Rod Lavor
The Smurfs - 2011 was released on: USA: 24 July 2011 (New York City, New York) (premiere) Canada: 29 July 2011 Spain: 29 July 2011 USA: 29 July 2011 Belgium: 3 August 2011 France: 3 August 2011 Netherlands: 3 August 2011 Argentina: 4 August 2011 Chile: 4 August 2011 Germany: 4 August 2011 Hong Kong: 4 August 2011 Israel: 4 August 2011 Malaysia: 4 August 2011 Peru: 4 August 2011 Austria: 5 August 2011 Brazil: 5 August 2011 Colombia: 5 August 2011 Costa Rica: 5 August 2011 Mexico: 5 August 2011 Panama: 5 August 2011 Turkey: 5 August 2011 Uruguay: 5 August 2011 Venezuela: 5 August 2011 China: 10 August 2011 Iceland: 10 August 2011 Ireland: 10 August 2011 Philippines: 10 August 2011 UK: 10 August 2011 Belarus: 11 August 2011 Kazakhstan: 11 August 2011 Portugal: 11 August 2011 Russia: 11 August 2011 Serbia: 11 August 2011 South Korea: 11 August 2011 Ukraine: 11 August 2011 Paraguay: 12 August 2011 Slovenia: 18 August 2011 Bulgaria: 19 August 2011 Estonia: 19 August 2011 Lithuania: 19 August 2011 Poland: 19 August 2011 Denmark: 25 August 2011 Hungary: 25 August 2011 Kuwait: 30 August 2011 Kuwait: 30 August 2011 Singapore: 1 September 2011 Finland: 2 September 2011 Norway: 2 September 2011 Sweden: 2 September 2011 Greece: 8 September 2011 Japan: 9 September 2011 Australia: 15 September 2011 Italy: 16 September 2011 Pakistan: 23 September 2011 Thailand: 6 October 2011 Indonesia: 7 October 2011 Occupied Palestinian Territory: 31 October 2014 Cook Islands: 25 November 2014 Fiji: 29 December 2014